Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 1, 3, 2 , b = −1, 1, 5 , c = 4, 1, 3 in cubic units.

57 u^3

Step-by-step explanation:

We know that the volume of the parallelepiped determined by the tree vectors is equal to the absolute value of its scalar triple product:

Where we used that the scalar triple product of three vectors equals the absolute value of its determinant.

Therefore, the volume of the parallelepiped is: 57 u^3

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0